Greatest Common Factor of 1778 and 1785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1778, 1785 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1778 and 1785 is 7.

GCF(1778,1785) = 7

GCF of 1778 and 1785

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1778 and 1785

GCF of 1778 and 1785 is 7

Prime Factorization of 1778


2 1778
7 889
127 127
1

Prime factors of 1778 are 2,7,127. Prime factorization of 1778 in exponential form is:

1778 = 21×71×1271

Prime Factorization of 1785


3 1785
5 595
7 119
17 17
1

Prime factors of 1785 are 3,5,7,17. Prime factorization of 1785 in exponential form is:

1785 = 31×51×71×171

∴ So by taking common prime factors GCF of 1778 and 1785 is 7

Greatest Common Factor of 1778 and 1785 by matching factors method

Factors of 1778

List of positive integer factors of 1778 that divides 1778 without a remainder.

1,2,7,14,127,254,889,1778

Factors of 1785

List of positive integer factors of 1785 that divides 1785 without a remainder.

1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785

Greatest Common Factor

We found the factors and prime factorization of 1778 and 1785. The biggest common factor number is the GCF number.
So the greatest common factor 1778 and 1785 is 7.

Also check out the Least Common Multiple of 1778 and 1785

Properties of GCF 1778 and 1785

(i) The GCF of 1778 and 1785 is associative

GCF of 1778 and 1785 = GCF of 1785 and 1778

Related Greatest Common Factor of 1778

Related Greatest Common Factor of 1785

Frequently Asked Questions on GCF of 1778 and 1785

1. What is the GCF of 1778 and 1785?

Answer: GCF of 1778 and 1785 is 7.

2. What are the Factors of 1778?

Answer: Factors of 1778 are 1, 2, 7, 14, 127, 254, 889, 1778. There are 8 integers that are factors of 1778. The greatest factor of 1778 is 1778.

3. What are the Factors of 1785?

Answer: Factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785. There are 16 integers that are factors of 1785. The greatest factor of 1785 is 1785.

4. How to Find the GCF of 1778 and 1785?

Answer:

Greatest Common Factor of 1778 and 1785 = 7

Step 1: Find the prime factorization of 1778

1778 = 2 x 7 x 127

Step 2: Find the prime factorization of 1785

1785 = 3 x 5 x 7 x 17

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 1778 and 1785 is 7